Question 3 - A-Level Maths

Exam Board	OCR
Module	C2 (Core Mathematics 2)
Year	2010
Session	January
Topic	Binomial Theorem (positive integer n)
Type	Substitution into binomial expansion

Find and simplify the first four terms in the expansion of \(( 2 - x ) ^ { 7 }\) in ascending powers of \(x\).
Hence find the coefficient of \(w ^ { 6 }\) in the expansion of \(\left( 2 - \frac { 1 } { 4 } w ^ { 2 } \right) ^ { 7 }\).